二阶线性双曲型方程利用线性变换求解定理  

The Solving Theorem of Second Order Linear Hyperbolic Equation

作　　者：刘许成[1] 

机构地区：[1]潍坊学院数学系,山东潍坊261041

出　　处：《潍坊学院学报》2004年第4期27-28,共2页Journal of Weifang University

摘　　要：两个自变量的二阶线性双曲型方程auxx+2buxy+cuyy+dux+euy+g=0,当系数a,b,c为常数,d,e满足一定条件时,可以利用线性变换T:ζ=a11x+a12y,η=a21x+a22y化为一阶线性常微分方程求解,本文给出了差别定理和应用方法。To the second order linear hyperbolic equation with two independent variables Auxx+2buxy+cuyy+ dux+eux+g=0 when its coefficients a,b,c are constants and d,e satisfy given conditions,we may utilize the transformation T:ζ=a11x+a12y, η=a21x+a22y to make it as first order linear ordinary differential equation for solving.At the same time,we give the discrimination theorem and application method.

关 键 词：二阶线性双曲型方程 线性变换 方程求解 常微分方程 特征方程 

分 类 号：O175.27[理学—数学]